Integrate api with hey-api

package.json

@@ -10,6 +10,7 @@
     "postinstall": "nuxt prepare"
   },
   "dependencies": {
+    "@hey-api/nuxt": "^0.2.1",
     "@nuxt/image": "2.0.0",
     "@types/tinycolor2": "^1.4.6",
     "@vibrant/color": "^4.0.0",
@@ -30,6 +31,7 @@
     "vue-sonner": "^2.0.9"
   },
   "devDependencies": {
+    "@hey-api/openapi-ts": "0.94.0",
     "@nuxtjs/color-mode": "^4.0.0",
     "@tailwindcss/vite": "^4.1.18",
     "tailwindcss": "^4.1.18",